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214031432011033 = 71319297160121003
BaseRepresentation
bin110000101010100100010011…
…011110011100110100011001
31001001211012112111102121112201
4300222210103132130310121
5211023142333043323113
62035112403225410201
763040155260452330
oct6052442336346431
91031735474377481
10214031432011033
116221924764505a
1220008885639961
139257101183b10
143abd268782d17
1519b26ae680cdd
hexc2a91379cd19

214031432011033 has 64 divisors (see below), whose sum is σ = 290889465753600. Its totient is φ = 152716964440320.

The previous prime is 214031432010989. The next prime is 214031432011069. The reversal of 214031432011033 is 330110234130412.

It is a de Polignac number, because none of the positive numbers 2k-214031432011033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214031432010992 and 214031432011010.

It is not an unprimeable number, because it can be changed into a prime (214031432011333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26500491 + ... + 33620512.

It is an arithmetic number, because the mean of its divisors is an integer number (4545147902400).

Almost surely, 2214031432011033 is an apocalyptic number.

It is an amenable number.

214031432011033 is a deficient number, since it is larger than the sum of its proper divisors (76858033742567).

214031432011033 is a wasteful number, since it uses less digits than its factorization.

214031432011033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60121142.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 214031432011033 its reverse (330110234130412), we get a palindrome (544141666141445).

The spelling of 214031432011033 in words is "two hundred fourteen trillion, thirty-one billion, four hundred thirty-two million, eleven thousand, thirty-three".

Divisors: 1 7 13 19 29 71 91 133 203 247 377 497 551 923 1349 1729 2059 2639 3857 6461 7163 9443 14413 17537 26767 39121 50141 122759 187369 273847 508573 3560011 60121003 420847021 781573039 1142299057 1743509087 4268591213 5471011273 7996093399 12204563609 14849887741 22665618131 29880138491 33126672653 55491685769 81103233047 103949214187 123789145177 158659326917 231886708571 388441800383 430646744489 567722631329 866524016239 1054342029611 1609258887301 2351993758363 3014527211423 7380394207277 11264812211107 16463956308541 30575918858719 214031432011033